112/81: Difference between revisions

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In [[7-limit]] [[just intonation]], '''112/81''' is a '''grave Huygens' tritone''' of about 561¢, a syntonic comma flat of [[7/5]]. It is of importance in [[EDF]] scales as the fifth-reduced 7th harmonic, and is nearly identical to 4\[[5edf]].
In [[7-limit]] [[just intonation]], '''112/81''' is a '''grave Huygens' tritone''' of about 561¢, a syntonic comma flat of [[7/5]]. It is of importance in [[EDF]] scales as the fifth-reduced 7th harmonic, and is nearly identical to 4\[[5edf]].
[[Category:Tritone]]
[[Category:Low tritone]]
[[Category:Fourth]]
[[Category:Superfourth]]

Revision as of 00:42, 25 May 2023

Interval information
Ratio 112/81
Factorization 24 × 3-4 × 7
Monzo [4 -4 0 1⟩
Size in cents 561.0059¢
Name grave Huygens' tritone
Color name z5, zo 5th
FJS name [math]\displaystyle{ \text{d5}^{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 13.1472
Weil norm (log2 max(n, d)) 13.6147
Wilson norm (sopfr(nd)) 27
Open this interval in xen-calc

In 7-limit just intonation, 112/81 is a grave Huygens' tritone of about 561¢, a syntonic comma flat of 7/5. It is of importance in EDF scales as the fifth-reduced 7th harmonic, and is nearly identical to 4\5edf.

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